Given Numbers are 86, 94

We can find the LCM of 86, 94 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 86 and 94

Multiples of 86 =86,172,258,344,430,516,602,688,774,860,946,1032,1118,1204,1290,1376,1462,

Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,

Now, get the least common multiple of 86, 94 which is 4042

So, the LCM of 86, 94 is 4042.

One method for determining the LCM of 86 and 94 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 86's prime factorization:

Prime factors of 86 are 2,43.

86 = 2¹×43¹

And this is 94's prime factorization:

Prime factors of 94 are 2,47.

94 = 2¹×47¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,43,47

2¹×43¹×47¹ = 4042

This shows that the LCM of 86 and 94 is 4042.

The first step in determining the Least Common Multiple of 86 and 94 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 86 and 94:

Lets look at the first ten multiples of these numbers, 86 and 94:

86,172,258,344,430,516,602,688,774,1462 are the first ten multiples of 86.

94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 86 and 94, for example, are 1032, 1462, and 1504. 4042 is the least common multiple since it is the smallest.

86 and 94 have an LCM of 4042.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86 and 94, than apply into the LCM equation.

GCF(86,94) = 2
LCM(86,94) = ( 86 × 94) / 2
LCM(86,94) = 8084 / 2
LCM(86,94) = 4042

1. What is the LCM of 86 and 94?

The LCM of 86 and 94 is 4042.

2. How to find the lowest common multiple of 86 and 94?

To find the lowest common multiple of 86 and 94, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4042.

3. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

4. What are the Factors of 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

Answer:

Least Common Multiple of 86 and 94 = 4042

Step 1: Find the prime factorization of 86

86 = 2 x 43

Step 2: Find the prime factorization of 94

94 = 2 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4042 = 2 x 43 x 47

Step 4: Therefore, the least common multiple of 86 and 94 is 4042.